Question

After one side was lengthened by 6 inches and the other side was lengthened by 4 inches, the area of the shape doubled. What was the length of a side of the original square?
(....+2a)^2=...+12ab^2+4a^2

Answer 1

The length of a side of the original square is about 12 inches.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length of the original square, hence:

Area = x * x = x²

When the area is doubled:

2x² = (x + 6)(x + 4)

x² + 10x + 24 = 2x²

x² - 10x - 24 = 0

x = 12 inches

The length of a side of the original square is about 12 inches.

Find out more on equation at: brainly.com/question/2972832

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